Optimality conditions for the truncated network of the generalized discrete orthonormal basis having real poles

Rachid Malti (1) , Didier Maquin (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the synthesis of optimality conditions for the truncated network of the generalized orthonormal basis in the case where all the poles belong to the set of real numbers. These conditions are brought to a very simple form, but their solutions are not trivial. They generalize the optimality conditions for the truncated Laguerre network and are very attractive in system identification, model representation, and model reduction frameworks.

Domaines: Automatique / Robotique

Rachid Malti, Didier Maquin, José Ragot. Optimality conditions for the truncated network of the generalized discrete orthonormal basis having real poles. 37th IEEE Conference on Decision and Control, CDC'98, Dec 1998, Tampa, United States. pp.2189-2194, ⟨10.1109/CDC.1998.758665⟩. ⟨hal-00201430⟩